Welcome to the Differential Equations and Modeling repository! This resource is tailored for educational purposes, providing detailed practice assignments and exercises that encompass a wide range of ...

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...

We characterize a tree's spatial foliage distribution by the local leaf area density. Considering this spatially continuous variable allows to describe the spatiotemporal evolution of the tree crown ...

This study centers on incorporating memory effects (the impact of past events on current states) into mathematical models for population dynamics. It introduces a framework based on the gamma ...

Hematopoiesis, the biological process of blood cell formation, has long attracted the attention of mathematicians and biomedical researchers alike. Recent work in this arena has increasingly focused ...

Abstract: In this paper, the implementation of a cybernetic learning model based on differential equations of fractional order is justified. Experimental learning results were obtained by testing ...

The state of the art in image and video generation using machine learning is the diffusion model, a type of neural network trained to progressively remove noise from grainy images. Starting from ...

Model natural and engineered hydraulic and hydrologic systems. Manage large datasets and develop models for hydrodynamics. Gain in-depth modeling experience using real-world case studies in a ...